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            <h1 id="seo-header">『算法-ACM竞赛-CodeForces』140C （贪心+优先队列）补题</h1>
            
            
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                <h1 id="『算法-ACM-竞赛-CodeForces』140C-（贪心-优先队列）补题"><a href="#『算法-ACM-竞赛-CodeForces』140C-（贪心-优先队列）补题" class="headerlink" title="『算法-ACM 竞赛-CodeForces』140C （贪心+优先队列）补题"></a>『算法-ACM 竞赛-CodeForces』140C （贪心+优先队列）补题</h1><p><strong>C. New Year Snowmen</strong><br>time limit per test2 seconds<br>memory limit per test256 megabytes<br>inputstandard input<br>outputstandard output<br>As meticulous Gerald sets the table and caring Alexander sends the postcards, Sergey makes snowmen. Each showman should consist of three snowballs: a big one, a medium one and a small one. Sergey’s twins help him: they’ve already made n snowballs with radii equal to r1, r2, …, rn. To make a snowman, one needs any three snowballs whose radii are pairwise different. For example, the balls with radii 1, 2 and 3 can be used to make a snowman but 2, 2, 3 or 2, 2, 2 cannot. Help Sergey and his twins to determine what maximum number of snowmen they can make from those snowballs.</p>
<p>Input<br>The first line contains integer n (1 ≤ n ≤ 105) — the number of snowballs. The next line contains n integers — the balls’ radii r1, r2, …, rn (1 ≤ ri ≤ 109). The balls’ radii can coincide.</p>
<p>Output<br>Print on the first line a single number k — the maximum number of the snowmen. Next k lines should contain the snowmen’s descriptions. The description of each snowman should consist of three space-separated numbers — the big ball’s radius, the medium ball’s radius and the small ball’s radius. It is allowed to print the snowmen in any order. If there are several solutions, print any of them.</p>
<p>Examples<br>inputCopy<br>7<br>1 2 3 4 5 6 7<br>outputCopy<br>2<br>3 2 1<br>6 5 4<br>inputCopy<br>3<br>2 2 3<br>outputCopy<br>0</p>
<p>一开始想暴力，奈何 10^9 过不了，这是有贪心策略的，既然要使的堆成雪人的数量最多，比如 6 3 3 3 2 2 2 2 1 1，要想使的雪人数量最多，应该尽可能的让 2 分到更多组，但是每个雪球只能用一次，当 2 用的比 3 少的时候，应该改优先为 3，所以应该写一个结构体，先按照数量排序，再按半径排序，每次拿前三个即可。<br>尴尬：取完一定要放回去，还要是数量减一。</p>
<figure class="highlight arduino"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br><span class="line">37</span><br><span class="line">38</span><br><span class="line">39</span><br><span class="line">40</span><br><span class="line">41</span><br><span class="line">42</span><br><span class="line">43</span><br><span class="line">44</span><br><span class="line">45</span><br><span class="line">46</span><br><span class="line">47</span><br><span class="line">48</span><br><span class="line">49</span><br><span class="line">50</span><br><span class="line">51</span><br><span class="line">52</span><br><span class="line">53</span><br><span class="line">54</span><br><span class="line">55</span><br><span class="line">56</span><br><span class="line">57</span><br><span class="line">58</span><br><span class="line">59</span><br></pre></td><td class="code"><pre><code class="hljs arduino"><span class="hljs-meta">#<span class="hljs-keyword">include</span> <span class="hljs-string">&lt;bits/stdc++.h&gt;</span></span><br><span class="hljs-keyword">using</span> <span class="hljs-keyword">namespace</span> std;<br><span class="hljs-keyword">struct</span> <span class="hljs-title class_">Node</span>&#123;<br>    <span class="hljs-type">int</span> arr,num;        <span class="hljs-comment">//半径，数目</span><br>&#125;node[<span class="hljs-number">100005</span>];<br>map &lt;<span class="hljs-type">int</span>,<span class="hljs-type">int</span>&gt; M;<br>priority_queue &lt;Node&gt; Q;        <span class="hljs-comment">//默认大根队列，先出队列的为最大的</span><br>vector &lt;<span class="hljs-type">int</span>&gt; V[<span class="hljs-number">3</span>];<br><br><span class="hljs-type">bool</span> <span class="hljs-keyword">operator</span> &lt; (Node a,Node b)&#123;<br>    <span class="hljs-keyword">return</span> a.num &lt; b.num;<br>&#125;<br><span class="hljs-function"><span class="hljs-type">int</span> <span class="hljs-title">main</span><span class="hljs-params">()</span></span><br><span class="hljs-function"></span>&#123;<br>    <span class="hljs-type">int</span> n;<br>    <span class="hljs-keyword">while</span>(~<span class="hljs-built_in">scanf</span>(<span class="hljs-string">&quot;%d&quot;</span>,&amp;n))&#123;<br>        <span class="hljs-keyword">while</span>(!Q.<span class="hljs-built_in">empty</span>())<br>            Q.<span class="hljs-built_in">pop</span>();<br>        M.<span class="hljs-built_in">clear</span>();<br>        <span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>;i &lt; <span class="hljs-number">3</span>;i ++)   V[i].<span class="hljs-built_in">clear</span>();<br>        <span class="hljs-type">int</span> temp;<br>        <span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i = <span class="hljs-number">1</span>;i &lt;= n;i ++)&#123;<br>          <span class="hljs-built_in">scanf</span>(<span class="hljs-string">&quot;%d&quot;</span>,&amp;temp)<br>            M[temp]++;<br>        &#125;<br>        <span class="hljs-type">int</span> len = <span class="hljs-number">0</span>;<br>        map &lt;<span class="hljs-type">int</span>,<span class="hljs-type">int</span>&gt;::iterator it;<br>        <span class="hljs-keyword">for</span>(it = M.<span class="hljs-built_in">begin</span>();it != M.<span class="hljs-built_in">end</span>();it ++)&#123;        <span class="hljs-comment">//结构体存半径和数目</span><br>            node[len].arr = it-&gt;first;<br>            node[len++].num = it-&gt;second;<br>        &#125;<br>        <span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>;i &lt; len;i ++)     <span class="hljs-comment">//入队列</span><br>            Q.<span class="hljs-built_in">push</span>(node[i]);<br>        len = <span class="hljs-number">0</span>;<br>        <span class="hljs-keyword">while</span>(!Q.<span class="hljs-built_in">empty</span>())&#123;<br>            Node res1 = Q.<span class="hljs-built_in">top</span>();<br>            Q.<span class="hljs-built_in">pop</span>();<br>            <span class="hljs-keyword">if</span>(Q.<span class="hljs-built_in">empty</span>())   <span class="hljs-keyword">break</span>;<br>            Node res2 = Q.<span class="hljs-built_in">top</span>();<br>            Q.<span class="hljs-built_in">pop</span>();<br>            <span class="hljs-keyword">if</span>(Q.<span class="hljs-built_in">empty</span>())   <span class="hljs-keyword">break</span>;<br>            Node res3 = Q.<span class="hljs-built_in">top</span>();<br>            Q.<span class="hljs-built_in">pop</span>();<br>            <span class="hljs-type">int</span> temp[<span class="hljs-number">3</span>] = &#123;res1.arr,res2.arr,res3.arr&#125;;<br>            <span class="hljs-built_in">sort</span>(temp,temp+<span class="hljs-number">3</span>);<br>            V[<span class="hljs-number">0</span>].<span class="hljs-built_in">push_back</span>(temp[<span class="hljs-number">2</span>]);<br>            V[<span class="hljs-number">1</span>].<span class="hljs-built_in">push_back</span>(temp[<span class="hljs-number">1</span>]);<br>            V[<span class="hljs-number">2</span>].<span class="hljs-built_in">push_back</span>(temp[<span class="hljs-number">0</span>]);<br>            res1.num--,res2.num--,res3.num--;<br>            <span class="hljs-keyword">if</span>(res1.num)   Q.<span class="hljs-built_in">push</span>(res1);        <span class="hljs-comment">//数目不为0时继续入队列</span><br>            <span class="hljs-keyword">if</span>(res2.num)   Q.<span class="hljs-built_in">push</span>(res2);<br>            <span class="hljs-keyword">if</span>(res3.num)   Q.<span class="hljs-built_in">push</span>(res3);<br>        &#125;<br>        cout&lt;&lt;V[<span class="hljs-number">0</span>].<span class="hljs-built_in">size</span>()&lt;&lt;endl;<br>        <span class="hljs-keyword">for</span>(<span class="hljs-type">int</span> i = <span class="hljs-number">0</span>;i &lt; V[<span class="hljs-number">0</span>].<span class="hljs-built_in">size</span>();i ++)<br>            cout&lt;&lt;V[<span class="hljs-number">0</span>][i]&lt;&lt;<span class="hljs-string">&quot; &quot;</span>&lt;&lt;V[<span class="hljs-number">1</span>][i]&lt;&lt;<span class="hljs-string">&quot; &quot;</span>&lt;&lt;V[<span class="hljs-number">2</span>][i]&lt;&lt;endl;<br>    &#125;<br>    <span class="hljs-keyword">return</span> <span class="hljs-number">0</span>;<br>&#125;<br></code></pre></td></tr></table></figure>

                
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                        <span class="hidden-mobile">『算法-ACM竞赛-Codeforces』『ACM算法-思维题』– CodeForces -CodeForces - 992C Nastya and a Wardrobe（欧拉降幂+快速幂）</span>
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